ListarMAT_Articles por tema "Julia and Fatou sets"

Mostrando ítems 1-3 de 3

    • openAccess   Dynamics of the family of c-iterative methods 

      Campos, Beatriz; Cordero Barbero, Alicia; Torregrosa, Juan R.; Vindel, Pura Taylor & Francis (2014-02-21)
      In this paper, the dynamics of the family of c-iterative methods for solving nonlinear equations are studied on quadratic polynomials. A singular parameter space is presented to show the complexity of the family. The ...

    • openAccess   Newton method for symmetric quartic polynomial 

      Campos, Beatriz; Garijo, Antonio; Jarque, Xavier; Vindel, Pura Elsevier (2016-11)
      We investigate the parameter plane of the Newton’s method applied to the family of quartic polynomials pa,b(z)=z4+az3+bz2+az+1,pa,b(z)=z4+az3+bz2+az+1, where a and b are real parameters. We divide the parameter plane ...

    • openAccess   On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub 

      Canela, Jordi; Evdoridou, Vasiliki; Garijo, Antonio; Jarque, Xavier Springer (2023)
      In this paper we study the dynamics of damped Traub’s methods Tδ when applied to polynomials. The family of damped Traub’s methods consists of root finding algorithms which contain both Newton’s (δ = 0) and Traub’s method ...